College Algebra (6th Edition)

by
Blitzer, Robert F.

Answer

-8

Work Step by Step

$\frac{2x+3y}{x+1}$ for $x=-2$ and $y=4$
substitute -2 for each x and 4 for each y
$=\frac{2\times(-2)+3\times4}{(-2)+1}$
complete any grouped operations first - remember that the numerator and denominator of a fraction are each considered grouped
$=\frac{(-4)+12}{-1}$
within each group, first complete multiplication and division in order left to right, then addition and subtraction left to right
$=\frac{8}{-1}$
finish with division - fractions mean divide the numerator by the denominator - a positive divided by a negative is a negative!
$=-8$